Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.
Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.
We can calculate exact area and circumference of a circle from its radius using the following equations:
Area of circle = (pi/4)*r^2
Circumference of circle = 2*pi*r
Where r is the radius of the circle.
I know this is a lot, sorry.
3/4+1/3=9/12+4/12=13/12 of an hour
13/12= 1 1/12
Answer:
The first one
Step-by-step explanation:
The number line is supposed to show the product of 2 and five, the arrow will start at 0 because 5 times 0 is 0 then it will go to 5 because 5 times 1 is 5, then another arrow will start at 5 and point at 10 because 5 times 2 is 10
The second option points backwards which would be if you were dividing 10 by 5
The third option starts at negative 10 so it shows -10 divided by -5
the last option starts at 0 and goes to -10 so it shows -5 multiplied by 2
X = pencils, y = pens
8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75
4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50
Answer:
The distribution is symmetric.
Step-by-step explanation:
<em>The distribution will be skew left, if the data is more distributed on left side of graph.</em>
<em>The distribution will be right left, if the data is more distributed on right side of graph.</em>
<em>The distribution is symmetric if from the center, the data is distributed symmetrically, equal increase or decrease on either side.</em>
<em>The distribution is uniform if the value of data remains constant throughout the graph.</em>
Above here, the from the center, the data decreases symmetrically on both the sides, same values of data for Cat-Rabbit pair and Dog-Mice pair.
Thus, distribution is symmetric.
